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Volumn 65, Issue 1, 2007, Pages 115-157

Some results on periodic points and chaotic dynamics arising from the study of the nonlinear hill equations

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EID: 35948995796     PISSN: 03731243     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Conference Paper
Times cited : (14)

References (82)
  • 1
    • 35948931739 scopus 로고    scopus 로고
    • ALEXANDER J.C., A primer on connectivity, in: Fixed point theory, Proc Conf., Sherbrooke/Can. 1980, (Eds. Fadell E. and Fournier G.), Lect. Notes Math. 886, Springer - Verlag, Berlin New York 1981, 455-483.
    • ALEXANDER J.C., A primer on connectivity, in: "Fixed point theory, Proc Conf., Sherbrooke/Can. 1980", (Eds. Fadell E. and Fournier G.), Lect. Notes Math. 886, Springer - Verlag, Berlin New York 1981, 455-483.
  • 2
    • 0010840482 scopus 로고
    • A transformation theorem for periodic solutions of nondissipative systems
    • 1992
    • ANDRES J., GAUDENZI M. AND ZANOLIN F., A transformation theorem for periodic solutions of nondissipative systems, Rend. Sem. Mat. Univ. Pol. Torino 48 (1990), 171-186 (1992).
    • (1990) Rend. Sem. Mat. Univ. Pol. Torino , vol.48 , pp. 171-186
    • ANDRES, J.1    GAUDENZI, M.2    ZANOLIN, F.3
  • 3
    • 0009347777 scopus 로고    scopus 로고
    • Topology in nonlinear analysis (Warsaw 1994)
    • Banach Center Publ, Polish Acad. Sci, Warsaw
    • ANDRES J., GÓRNIEWICZ L. AND LEWICKA M., Partially dissipative periodic processes, in: "Topology in nonlinear analysis (Warsaw 1994)", Banach Center Publ. 35, Polish Acad. Sci., Warsaw 1996, 109-118.
    • (1996) Partially dissipative periodic processes , vol.35 , pp. 109-118
    • ANDRES, J.1    GÓRNIEWICZ, L.2    LEWICKA, M.3
  • 4
    • 18244397448 scopus 로고    scopus 로고
    • Multiple positive solutions of superlinear elliptic problems with sign-changing weight
    • BONHEURE D., GOMES J.M. AND HABETS P., Multiple positive solutions of superlinear elliptic problems with sign-changing weight, J. Differential Equations 214 (2005), 36-64.
    • (2005) J. Differential Equations , vol.214 , pp. 36-64
    • BONHEURE, D.1    GOMES, J.M.2    HABETS, P.3
  • 5
    • 0345833378 scopus 로고
    • Oscillation theorems for a nonlinear analogue of Hill's equation
    • BUTLER G.J., Oscillation theorems for a nonlinear analogue of Hill's equation, Quart. J. Math. Oxford, Ser. 27 (2) (1976), 159-171.
    • (1976) Quart. J. Math. Oxford, Ser , vol.27 , Issue.2 , pp. 159-171
    • BUTLER, G.J.1
  • 6
    • 0000385340 scopus 로고
    • Rapid oscillation, nonextendability, and the existence of periodic solutions to second order nonlinear differential equations
    • BUTLER G.J., Rapid oscillation, nonextendability, and the existence of periodic solutions to second order nonlinear differential equations, J. Differential Equations 22 (1976), 467-477.
    • (1976) J. Differential Equations , vol.22 , pp. 467-477
    • BUTLER, G.J.1
  • 7
    • 0042213177 scopus 로고
    • Continuation results for operator equations in metric ANRs
    • Boll. Unione Mat. Ital, VII
    • CAPIETTO A., Continuation results for operator equations in metric ANRs, Boll. Unione Mat. Ital., VII. Ser. B 8 (1994), 135-150.
    • (1994) Ser. B , vol.8 , pp. 135-150
    • CAPIETTO, A.1
  • 8
    • 0037141637 scopus 로고    scopus 로고
    • Superlinear indefinite equations on the real line and chaotic dynamics
    • CAPIETTO A., DAMBROSIO W. AND PAPINI D., Superlinear indefinite equations on the real line and chaotic dynamics, J. Differential Equations 181 (2002), 419-138.
    • (2002) J. Differential Equations , vol.181 , pp. 419-138
    • CAPIETTO, A.1    DAMBROSIO, W.2    PAPINI, D.3
  • 9
    • 0001977020 scopus 로고
    • A continuation approach to some forced superlinear Sturm-Liouville boundary value problems
    • CAPIETTO A., HENRARD M., MAWHIN J. AND ZANOLIN F., A continuation approach to some forced superlinear Sturm-Liouville boundary value problems, Topol. Methods Nonlinear Anal. 3 (1994), 81-100.
    • (1994) Topol. Methods Nonlinear Anal , vol.3 , pp. 81-100
    • CAPIETTO, A.1    HENRARD, M.2    MAWHIN, J.3    ZANOLIN, F.4
  • 10
    • 0000979573 scopus 로고
    • A continuation approach to superlinear periodic boundary value problems
    • CAPIETTO A., MAWHIN J. AND ZANOLIN F., A continuation approach to superlinear periodic boundary value problems, J. Differential Equations 88 (1990), 347-395.
    • (1990) J. Differential Equations , vol.88 , pp. 347-395
    • CAPIETTO, A.1    MAWHIN, J.2    ZANOLIN, F.3
  • 11
    • 0016695740 scopus 로고
    • An application of Wazewski's method to a non-linear boundary value problem which arises in population genetics
    • CONLEY C., An application of Wazewski's method to a non-linear boundary value problem which arises in population genetics, J. Math. Biol. 2 (1975), 241-249.
    • (1975) J. Math. Biol , vol.2 , pp. 241-249
    • CONLEY, C.1
  • 13
    • 35948995692 scopus 로고    scopus 로고
    • Multiplicity results for asymptotically linear equations, using the rotation number approach, to appear on Med
    • DALBONO F. AND ZANOLIN F., Multiplicity results for asymptotically linear equations, using the rotation number approach, to appear on Med. J. Math.
    • J. Math
    • DALBONO, F.1    ZANOLIN, F.2
  • 14
    • 33747187225 scopus 로고    scopus 로고
    • Periodic solutions of asymptotically linear second order equations with indefinite weight
    • DAMBROSIO W. AND PAPINI D., Periodic solutions of asymptotically linear second order equations with indefinite weight, Ann. Mat. Pura Appl. 183 (2004), 537-554.
    • (2004) Ann. Mat. Pura Appl , vol.183 , pp. 537-554
    • DAMBROSIO, W.1    PAPINI, D.2
  • 16
    • 0003560987 scopus 로고
    • Monografie Matematyczne [Mathematical Monographs, Pafistwowe Wydawnictwo Naukowe PWN, Warsaw
    • DUGUNDJI J. AND GRANAS A., Fixed point theory. I, Monografie Matematyczne [Mathematical Monographs] 61, Pafistwowe Wydawnictwo Naukowe (PWN), Warsaw 1982.
    • (1982) Fixed point theory. I , vol.61
    • DUGUNDJI, J.1    GRANAS, A.2
  • 17
    • 0002480739 scopus 로고
    • Isolating blocks and symbolic dynamics
    • EASTON R. W., Isolating blocks and symbolic dynamics, J.Differential Equations 17 (1975), 96-118.
    • (1975) J.Differential Equations , vol.17 , pp. 96-118
    • EASTON, R.W.1
  • 18
    • 0003358442 scopus 로고
    • The geometry of fractal sets
    • Cambridge University Press, Cambridge
    • FALCONER K.J., The geometry of fractal sets, Cambridge Tracts in Mathematics, 85, Cambridge University Press, Cambridge 1986.
    • (1986) Cambridge Tracts in Mathematics , vol.85
    • FALCONER, K.J.1
  • 19
    • 33645967714 scopus 로고
    • On the covering dimension of the set of solutions of some nonlinear equations
    • FITZPATRICK P.M., MASSABÒ I. AND PEJSACHOWICZ J., On the covering dimension of the set of solutions of some nonlinear equations. Trans. Amer. Math. Soc. 296 (1986), 777-798.
    • (1986) Trans. Amer. Math. Soc , vol.296 , pp. 777-798
    • FITZPATRICK, P.M.1    MASSABÒ, I.2    PEJSACHOWICZ, J.3
  • 20
    • 35948940791 scopus 로고    scopus 로고
    • FURI M. AND PERA M.P., On the existence of an unbounded connected set of solutions for nonlinear equations in Banach spaces, Atti Accad. Naz. Lincei Rend. Cl. Sci. Fis. Mat. Natur. 67 (8) (1979), no. 1-2, (1980), 31-38.
    • FURI M. AND PERA M.P., On the existence of an unbounded connected set of solutions for nonlinear equations in Banach spaces, Atti Accad. Naz. Lincei Rend. Cl. Sci. Fis. Mat. Natur. 67 (8) (1979), no. 1-2, (1980), 31-38.
  • 21
    • 0007336992 scopus 로고
    • Cobifurcating branches of solutions for nonlinear eigenvalue problems in Banach spaces
    • FURI M. AND PERA M.P., Cobifurcating branches of solutions for nonlinear eigenvalue problems in Banach spaces, Ann. Mat. Pura Appl. (4) 135 (1983), 119-131.
    • (1983) Ann. Mat. Pura Appl. (4) , vol.135 , pp. 119-131
    • FURI, M.1    PERA, M.P.2
  • 22
    • 84972568905 scopus 로고
    • continuation principle for periodic solutions of forced motion equations on manifolds and applications to bifurcation theory
    • FURI M. AND PERA M.P., A continuation principle for periodic solutions of forced motion equations on manifolds and applications to bifurcation theory, Pacific J. Math. 160 (1993), 219-244.
    • (1993) Pacific J. Math , vol.160 , pp. 219-244
    • FURI, M.1    PERA, M.P.A.2
  • 23
    • 0000726502 scopus 로고    scopus 로고
    • Infinitely many solutions for a Dirichlet problem with a nonhomogeneous p-Laplacian-like operator in a ball
    • GARCÍA-HUIDOBRO M., MANÁSEVICH R. AND ZANOLIN R. Infinitely many solutions for a Dirichlet problem with a nonhomogeneous p-Laplacian-like operator in a ball. Adv. Differ. Equ. 2 (1997), 203-230.
    • (1997) Adv. Differ. Equ , vol.2 , pp. 203-230
    • GARCÍA-HUIDOBRO, M.1    MANÁSEVICH, R.2    ZANOLIN, R.3
  • 24
    • 3042803853 scopus 로고    scopus 로고
    • A seven-positive-solutions theorem for a superlinear problem
    • GAUDENZI M., P. HABETS P. ZANOLIN F., A seven-positive-solutions theorem for a superlinear problem, Adv. Nonlinear Stud. 4 (2004), 149-164.
    • (2004) Adv. Nonlinear Stud , vol.4 , pp. 149-164
    • GAUDENZI, M.P.1    HABETS, P.2    ZANOLIN, F.3
  • 25
    • 0041513381 scopus 로고    scopus 로고
    • Topological crossing heteroclinic connections to invariant tori
    • GIDEA M. AND ROBINSON C., Topological crossing heteroclinic connections to invariant tori, J. Differential Equations 193 (2003), 49-74.
    • (2003) J. Differential Equations , vol.193 , pp. 49-74
    • GIDEA, M.1    ROBINSON, C.2
  • 26
    • 3543134841 scopus 로고    scopus 로고
    • Covering relations for multidimensional dynamical systems - II
    • GIDEA M. AND ZGLICZYNSKI P., Covering relations for multidimensional dynamical systems - II, J. Differential Equations 202 (2004), 59-80.
    • (2004) J. Differential Equations , vol.202 , pp. 59-80
    • GIDEA, M.1    ZGLICZYNSKI, P.2
  • 27
    • 0000499166 scopus 로고
    • The Leray-Schauder index and the fixed point theory for arbitrary ANRs
    • GRANAS A., The Leray-Schauder index and the fixed point theory for arbitrary ANRs, Bull. Soc. Math. France 100 (1972), 209-228.
    • (1972) Bull. Soc. Math. France , vol.100 , pp. 209-228
    • GRANAS, A.1
  • 28
    • 0002246294 scopus 로고
    • On boundary value problems for superlinear second order diferential equations
    • HARTMAN P., On boundary value problems for superlinear second order diferential equations, J. Differential Equations 27 (1977), 37-53.
    • (1977) J. Differential Equations , vol.27 , pp. 37-53
    • HARTMAN, P.1
  • 29
    • 0003447189 scopus 로고
    • Addison-Wesley Publishing Co, Reading, Mass.-London
    • HOCKING J.G. AND YOUNG G.S., Topology, Addison-Wesley Publishing Co., Reading, Mass.-London 1961.
    • (1961) Topology
    • HOCKING, J.G.1    YOUNG, G.S.2
  • 30
    • 17644374787 scopus 로고    scopus 로고
    • Horeseshoes in modified Chen's attractors
    • HUANG Y. AND YANG X.-S. Horeseshoes in modified Chen's attractors, Chaos, Solitons Fractals 26 (2005), 79-85.
    • (2005) Chaos, Solitons Fractals , vol.26 , pp. 79-85
    • HUANG, Y.1    YANG, X.-S.2
  • 31
    • 84967708681 scopus 로고
    • Structure and dimension of global branches of solutions to multiparameter nonlinear equations
    • IZE J., MASSABÒ I., PEJSACHOWICZ J. AND VIGNOLI A., Structure and dimension of global branches of solutions to multiparameter nonlinear equations, Trans. Amer. Math. Soc. 291 (1985), 383-435.
    • (1985) Trans. Amer. Math. Soc , vol.291 , pp. 383-435
    • IZE, J.1    MASSABÒ, I.2    PEJSACHOWICZ, J.3    VIGNOLI, A.4
  • 32
    • 0034300589 scopus 로고    scopus 로고
    • On fixed points of maps and iterated maps and applications
    • KAMPEN J., On fixed points of maps and iterated maps and applications. Nonlinear Anal. 42 (2000). 509-532.
    • (2000) Nonlinear Anal , vol.42 , pp. 509-532
    • KAMPEN, J.1
  • 34
    • 0002954435 scopus 로고    scopus 로고
    • KENNEDY J., SANJUAN M.A.F., YORKE J.A. AND GREBOGI C., The topology of fluid flow past a sequence of cylinders, Topology Appl., Special issue in memory of B. J. Ball, 94 (1999), 207-242.
    • KENNEDY J., SANJUAN M.A.F., YORKE J.A. AND GREBOGI C., The topology of fluid flow past a sequence of cylinders, Topology Appl., Special issue in memory of B. J. Ball, 94 (1999), 207-242.
  • 35
    • 0002336968 scopus 로고    scopus 로고
    • The topology of stirred fluids
    • KENNEDY J. AND YORKE J.A., The topology of stirred fluids, Topology Appl. 80 (1997), 201-238.
    • (1997) Topology Appl , vol.80 , pp. 201-238
    • KENNEDY, J.1    YORKE, J.A.2
  • 36
    • 54649083995 scopus 로고    scopus 로고
    • KENNEDY J. AND YORKE J.A., Dynamical system topology preserved in presence of noise, Turkish J. of Mathematics 22 (1998), 379-413.
    • KENNEDY J. AND YORKE J.A., Dynamical system topology preserved in presence of noise, Turkish J. of Mathematics 22 (1998), 379-413.
  • 38
    • 35948929008 scopus 로고    scopus 로고
    • Generalized Hénon difference equations with delay
    • KENNEDY J. AND YORKE J.A., Generalized Hénon difference equations with delay, Univ. Jagel. Acta Math. 41 (2003), 9-28.
    • (2003) Univ. Jagel. Acta Math , vol.41 , pp. 9-28
    • KENNEDY, J.1    YORKE, J.A.2
  • 41
    • 0034259098 scopus 로고    scopus 로고
    • Periodic solutions for dissipative-repulsive systems
    • KÜPPER T., LI Y., ZHANG B., Periodic solutions for dissipative-repulsive systems, Tohoku Math. J. 52 (2000), 321-329.
    • (2000) Tohoku Math. J , vol.52 , pp. 321-329
    • KÜPPER, T.1    LI, Y.2    ZHANG, B.3
  • 42
    • 0002912789 scopus 로고
    • Topologie et équations fonctionnelles
    • LERAY J. AND SCHAUDER J., Topologie et équations fonctionnelles, Ann. Sci. Ecol. Norm. Sup. 51 (3) (1934), 45-78.
    • (1934) Ann. Sci. Ecol. Norm. Sup , vol.51 , Issue.3 , pp. 45-78
    • LERAY, J.1    SCHAUDER, J.2
  • 44
    • 0001111868 scopus 로고    scopus 로고
    • Leray-Schauder continuation theorems in the absence of a priori bounds
    • MAWHIN J., Leray-Schauder continuation theorems in the absence of a priori bounds, Topol. Methods Nonlinear Anal. 9 (1997), 179-200.
    • (1997) Topol. Methods Nonlinear Anal , vol.9 , pp. 179-200
    • MAWHIN, J.1
  • 45
    • 0037429534 scopus 로고    scopus 로고
    • Boundary blow-up for differential equations with indefinite weight
    • MAWHIN J., PAPINI D. ANDZANOLIN F., Boundary blow-up for differential equations with indefinite weight, J. Differential Equations 188 (2003), 33-51.
    • (2003) J. Differential Equations , vol.188 , pp. 33-51
    • MAWHIN, J.1    PAPINI, D.2    ANDZANOLIN, F.3
  • 46
    • 23044521107 scopus 로고    scopus 로고
    • Continuation theorems for Ambrosetti-Prodi type periodic problems
    • MAWHIN J., REBELO C. AND ZANOLIN F., Continuation theorems for Ambrosetti-Prodi type periodic problems, Commun. Contemp. Math. 2 (2000), 87-126.
    • (2000) Commun. Contemp. Math , vol.2 , pp. 87-126
    • MAWHIN, J.1    REBELO, C.2    ZANOLIN, F.3
  • 48
    • 3042852212 scopus 로고
    • On the foundations of plane analysis situs
    • MOORE R.L., On the foundations of plane analysis situs, Trans. Amer. Math. Soc 17 (1916), 131-164.
    • (1916) Trans. Amer. Math. Soc , vol.17 , pp. 131-164
    • MOORE, R.L.1
  • 49
    • 23844520765 scopus 로고    scopus 로고
    • Discrete version of a geometric method for detecting chaotic dynamics
    • MROZEK M. AND WÓJCIK K., Discrete version of a geometric method for detecting chaotic dynamics. Topology Appl. 152 (2005), 70-82.
    • (2005) Topology Appl , vol.152 , pp. 70-82
    • MROZEK, M.1    WÓJCIK, K.2
  • 52
    • 0034215762 scopus 로고    scopus 로고
    • Infinitely many solutions for a Floquet-type BVP with superlinearity indefinite in sign
    • PAPINI D., Infinitely many solutions for a Floquet-type BVP with superlinearity indefinite in sign, J. Math. Anal. Appl. 247 (2000), 217-235.
    • (2000) J. Math. Anal. Appl , vol.247 , pp. 217-235
    • PAPINI, D.1
  • 54
    • 3042720021 scopus 로고    scopus 로고
    • Prescribing the nodal behaviour of periodic solutions of a superlinear equation with indefinite weight
    • PAPINI D., Prescribing the nodal behaviour of periodic solutions of a superlinear equation with indefinite weight, Atti Sem. Mat. Fis. Univ. Modena 51 (2003), 43-63.
    • (2003) Atti Sem. Mat. Fis. Univ. Modena , vol.51 , pp. 43-63
    • PAPINI, D.1
  • 55
    • 0000422322 scopus 로고    scopus 로고
    • A topological approach to superlinear indefinite boundary value problems
    • PAPINI D. AND ZANOLIN F., A topological approach to superlinear indefinite boundary value problems, Topol. Methods Nonlinear Anal. 15 (2000), 203-233.
    • (2000) Topol. Methods Nonlinear Anal , vol.15 , pp. 203-233
    • PAPINI, D.1    ZANOLIN, F.2
  • 56
    • 3042650384 scopus 로고    scopus 로고
    • Differential equations with indefinite weight: Boundary value problems and qualitative properties of the solutions
    • PAPINI D. AND ZANOLIN F., Differential equations with indefinite weight: boundary value problems and qualitative properties of the solutions, Rend. Sem. Math. Univ. Pol. Torino 60 (4) (2002), 265-295.
    • (2002) Rend. Sem. Math. Univ. Pol. Torino , vol.60 , Issue.4 , pp. 265-295
    • PAPINI, D.1    ZANOLIN, F.2
  • 57
    • 85015468041 scopus 로고    scopus 로고
    • Periodic points and chaotic-like dynamics of planar maps associated to nonlinear Hill's equations with indefinite weight
    • PAPINI D. AND ZANOLIN F., Periodic points and chaotic-like dynamics of planar maps associated to nonlinear Hill's equations with indefinite weight, Georgian Mathematical J. 9 (2002), 339-366.
    • (2002) Georgian Mathematical J , vol.9 , pp. 339-366
    • PAPINI, D.1    ZANOLIN, F.2
  • 58
    • 34547575426 scopus 로고    scopus 로고
    • Chaotic-like oscillatory solutions for planar processes, with application to nonlinear Hill's equations with indefinite weight
    • in preparation
    • PAPINI D. AND ZANOLIN F., Chaotic-like oscillatory solutions for planar processes, with application to nonlinear Hill's equations with indefinite weight, (in preparation).
    • PAPINI, D.1    ZANOLIN, F.2
  • 59
    • 3042728668 scopus 로고    scopus 로고
    • On the periodic boundary value problem and chaotic-like dynamics for nonlinear Hill's equations
    • PAPINI D. AND ZANOLIN F., On the periodic boundary value problem and chaotic-like dynamics for nonlinear Hill's equations, Adv. Nonlinear Stud. 4 (2004), 71-91.
    • (2004) Adv. Nonlinear Stud , vol.4 , pp. 71-91
    • PAPINI, D.1    ZANOLIN, F.2
  • 60
    • 22944453026 scopus 로고    scopus 로고
    • Fixed points, periodic points, and coin-tossing sequences for mappings defined on two-dimensional cells
    • PAPINI D. AND ZANOLIN F., Fixed points, periodic points, and coin-tossing sequences for mappings defined on two-dimensional cells, Fixed Point Theory Appl. 2004 (2004), 113-134.
    • (2004) Fixed Point Theory Appl , vol.2004 , pp. 113-134
    • PAPINI, D.1    ZANOLIN, F.2
  • 61
    • 22944464425 scopus 로고    scopus 로고
    • Fixed points for dissipative-repulsive systems and topological dynamics of mappings defined on N-dimensional cells
    • PLREDDU M. AND ZANOLIN F., Fixed points for dissipative-repulsive systems and topological dynamics of mappings defined on N-dimensional cells, Adv. Nonlinear Stud. 5 (2005), 411-440.
    • (2005) Adv. Nonlinear Stud , vol.5 , pp. 411-440
    • PLREDDU, M.1    ZANOLIN, F.2
  • 62
    • 84879904964 scopus 로고
    • Some aspects of nonlinear eigenvalue problems
    • RABINOWITZ P.H., Some aspects of nonlinear eigenvalue problems, Rocky Mt. J. Math. 3 (1973), 161-202.
    • (1973) Rocky Mt. J. Math , vol.3 , pp. 161-202
    • RABINOWITZ, P.H.1
  • 63
    • 3042760838 scopus 로고    scopus 로고
    • On the existence and multiplicity of branches of nodal solutions for a class of parameter-dependent Sturm-Liouville problems via the shooting map
    • REBELO C AND ZANOLIN F., On the existence and multiplicity of branches of nodal solutions for a class of parameter-dependent Sturm-Liouville problems via the shooting map. Differential Integral Equations 13 (2000), 1473-1502.
    • (2000) Differential Integral Equations , vol.13 , pp. 1473-1502
    • REBELO, C.1    ZANOLIN, F.2
  • 64
    • 1842676428 scopus 로고
    • Introduction to various aspects of degree theory in Banach spaces, Math
    • Amer. Math. Soc, Providence, R.I
    • ROTHE E.H., Introduction to various aspects of degree theory in Banach spaces, Math. Surveys and Monographs 23, Amer. Math. Soc., Providence, R.I. 1986.
    • (1986) Surveys and Monographs , vol.23
    • ROTHE, E.H.1
  • 65
    • 3042808097 scopus 로고    scopus 로고
    • On geometric detection of periodic solutions and chaos
    • Non-linear analysis and boundary value problems for ordinary differential equations, Springer, Vienna
    • SRZEDNICKI R., On geometric detection of periodic solutions and chaos, in: "Non-linear analysis and boundary value problems for ordinary differential equations", CISM Courses and Lectures 371, Springer, Vienna 1996, 197-209.
    • (1996) CISM Courses and Lectures , vol.371 , pp. 197-209
    • SRZEDNICKI, R.1
  • 66
    • 84978082217 scopus 로고    scopus 로고
    • A generalization of the Lefschetz fixed point theorem and detection of chaos
    • SRZEDNICKI R., A generalization of the Lefschetz fixed point theorem and detection of chaos, Proc. Amer. Math. Soc. 128 (2000), 1231-1239.
    • (2000) Proc. Amer. Math. Soc , vol.128 , pp. 1231-1239
    • SRZEDNICKI, R.1
  • 67
    • 0002925083 scopus 로고    scopus 로고
    • A geometric method for detecting chaotic dynamics
    • SRZEDNICKI R. AND WOJCIK K., A geometric method for detecting chaotic dynamics, J. Differential Equations 135 (1997), 66-82.
    • (1997) J. Differential Equations , vol.135 , pp. 66-82
    • SRZEDNICKI, R.1    WOJCIK, K.2
  • 69
    • 85016641044 scopus 로고
    • Multiple solutions of anticoercive boundary value problems for a class of ordinary differential equations of second order
    • STRUWE M., Multiple solutions of anticoercive boundary value problems for a class of ordinary differential equations of second order, J. Differential Equations 37 (1980), 285-295.
    • (1980) J. Differential Equations , vol.37 , pp. 285-295
    • STRUWE, M.1
  • 70
    • 0034258413 scopus 로고    scopus 로고
    • Oscillating solutions to second order ODE's with indefinite superlinear nonlinearities
    • TERRACINI S. AND VERZINI G., Oscillating solutions to second order ODE's with indefinite superlinear nonlinearities, Nonlinearity 13 (2000), 1501-1514.
    • (2000) Nonlinearity , vol.13 , pp. 1501-1514
    • TERRACINI, S.1    VERZINI, G.2
  • 73
    • 0033245875 scopus 로고    scopus 로고
    • Chaos in the dynamics generated by sequence of maps, with application to chaotic advection inflows with aperiodic time dependence
    • WIGGINS S., Chaos in the dynamics generated by sequence of maps, with application to chaotic advection inflows with aperiodic time dependence, Z. Angew. Math. Phys. 50 (1999), 585-616.
    • (1999) Z. Angew. Math. Phys , vol.50 , pp. 585-616
    • WIGGINS, S.1
  • 74
    • 0032162518 scopus 로고    scopus 로고
    • Isolating segments and symbolic dynamics
    • WÓJCIK K., Isolating segments and symbolic dynamics. Nonlinear Anal. 33 (1998), 575-591.
    • (1998) Nonlinear Anal , vol.33 , pp. 575-591
    • WÓJCIK, K.1
  • 75
    • 22344456923 scopus 로고    scopus 로고
    • A computer-assisted proof of chaos in Josephson junctions
    • YANG X.-S. AND LI Q., A computer-assisted proof of chaos in Josephson junctions. Chaos Solitons Fractals 27 (2006), 25-30.
    • (2006) Chaos Solitons Fractals , vol.27 , pp. 25-30
    • YANG, X.-S.1    LI, Q.2
  • 76
    • 21244466438 scopus 로고    scopus 로고
    • A planar topological horseshoe theory with applications to computer verifications of chaos
    • YANG X.-S., LI H. AND HUANG Y., A planar topological horseshoe theory with applications to computer verifications of chaos, J. Phys. A 38 (2005), 4175-4185.
    • (2005) J. Phys. A , vol.38 , pp. 4175-4185
    • YANG, X.-S.1    LI, H.2    HUANG, Y.3
  • 77
    • 0242270960 scopus 로고    scopus 로고
    • A rigorous verification of chaos in an inertial two-neuron system
    • YANG X.-S. AND YANGI F., A rigorous verification of chaos in an inertial two-neuron system, Chaos Solitons Fractals 20 (2004), 587-591.
    • (2004) Chaos Solitons Fractals , vol.20 , pp. 587-591
    • YANG, X.-S.1    YANGI, F.2
  • 78
    • 0000785077 scopus 로고    scopus 로고
    • Continuation theorems for the periodic problem via the translation operator
    • ZANOLIN F., Continuation theorems for the periodic problem via the translation operator. Rend. Sem. Mat. Univ. Pol. Torino 54 (1996), 1-23.
    • (1996) Rend. Sem. Mat. Univ. Pol. Torino , vol.54 , pp. 1-23
    • ZANOLIN, F.1
  • 79
    • 0000527735 scopus 로고    scopus 로고
    • Fixed point index for iterations of maps, topological horseshoe and chaos
    • ZGLICZYNSKI P., Fixed point index for iterations of maps, topological horseshoe and chaos, Topol. Methods Nonlinear Anal. 8 (1996), 169-177.
    • (1996) Topol. Methods Nonlinear Anal , vol.8 , pp. 169-177
    • ZGLICZYNSKI, P.1
  • 80
    • 0041540896 scopus 로고    scopus 로고
    • Computer assisted proof of chaos in the Róssler equations and in the Hénon map
    • ZGLICZYNSKI P., Computer assisted proof of chaos in the Róssler equations and in the Hénon map, Nonlinearity 10 (1997), 243-252.
    • (1997) Nonlinearity , vol.10 , pp. 243-252
    • ZGLICZYNSKI, P.1
  • 81
    • 0035546270 scopus 로고    scopus 로고
    • On periodic points for systems of weakly coupled 1-dim maps
    • ZGLICZYNSKI P., On periodic points for systems of weakly coupled 1-dim maps, Nonlinear Anal. Ser. A: Theory Methods 46 (2001), 1039-1062.
    • (2001) Nonlinear Anal. Ser. A: Theory Methods , vol.46 , pp. 1039-1062
    • ZGLICZYNSKI, P.1
  • 82
    • 3543092733 scopus 로고    scopus 로고
    • Covering relations for multidimensional dynamical systems
    • ZGLICZYNSKI P. AND GIDEA M., Covering relations for multidimensional dynamical systems. J. Differential Equations 202 (2004), 32-58.
    • (2004) J. Differential Equations , vol.202 , pp. 32-58
    • ZGLICZYNSKI, P.1    GIDEA, M.2


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