메뉴 건너뛰기




Volumn 25, Issue 3, 2005, Pages 621-627

Localization of periodic orbits of polynomial vector fields of even degree by linear functions

Author keywords

[No Author keywords available]

Indexed keywords

BIFURCATION (MATHEMATICS); FUNCTIONS; OSCILLATORS (ELECTRONIC); POLYNOMIALS; PROBLEM SOLVING; THEOREM PROVING;

EID: 14944364752     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.chaos.2004.11.052     Document Type: Article
Times cited : (14)

References (21)
  • 2
    • 0033240334 scopus 로고    scopus 로고
    • The Rikitake two-disk dynamo system and domains with periodic orbits
    • Y. Hardy, and W.H. Steeb The Rikitake two-disk dynamo system and domains with periodic orbits Int J Theoret Phys 38 1999 2413 2417
    • (1999) Int J Theoret Phys , vol.38 , pp. 2413-2417
    • Hardy, Y.1    Steeb, W.H.2
  • 3
    • 84980080650 scopus 로고
    • A mathematical example displaying the features of turbulence
    • E. Hopf A mathematical example displaying the features of turbulence Comm Pure Appl Math 1 1948 303 322
    • (1948) Comm Pure Appl Math , vol.1 , pp. 303-322
    • Hopf, E.1
  • 7
    • 21444453139 scopus 로고
    • Localization of limit cycles
    • A.P. Krishchenko Localization of limit cycles Differ Equ 31 1995 1826 1833
    • (1995) Differ Equ , vol.31 , pp. 1826-1833
    • Krishchenko, A.P.1
  • 8
    • 0031190890 scopus 로고    scopus 로고
    • Estimation of domains with cycles
    • A.P. Krishchenko Estimation of domains with cycles Comput Math Appl 34 1997 325 332
    • (1997) Comput Math Appl , vol.34 , pp. 325-332
    • Krishchenko, A.P.1
  • 10
    • 0003698819 scopus 로고    scopus 로고
    • Differential Equations and Dynamical Systems
    • second ed. Springer New York, Berlin
    • L. Perko Differential Equations and Dynamical Systems second ed. Texts in Applied Mathematics 1996 Springer New York, Berlin
    • (1996) Texts in Applied Mathematics
    • Perko, L.1
  • 12
    • 0032064831 scopus 로고    scopus 로고
    • An algorithm for sums of squares of real polynomials
    • V. Powers, and T. Wörmann An algorithm for sums of squares of real polynomials J Pure Appl Algebra 127 1998 99 104
    • (1998) J Pure Appl Algebra , vol.127 , pp. 99-104
    • Powers, V.1    Wörmann, T.2
  • 13
    • 0026791711 scopus 로고
    • Chaos in models of double convection
    • A.M. Rucklidge Chaos in models of double convection J. Fluid Mech 237 1992 209 229
    • (1992) J. Fluid Mech , vol.237 , pp. 209-229
    • Rucklidge, A.M.1
  • 14
    • 33751555569 scopus 로고
    • Some simple chaotic flows
    • J.C. Sprott Some simple chaotic flows Phys Rev E 50 1994 647 650
    • (1994) Phys Rev E , vol.50 , pp. 647-650
    • Sprott, J.C.1
  • 15
    • 4644352924 scopus 로고    scopus 로고
    • Some results on periodic orbits of polynomial systems
    • K. Starkov Some results on periodic orbits of polynomial systems Stab Control Theory Appl 4 2002 30 42
    • (2002) Stab Control Theory Appl , vol.4 , pp. 30-42
    • Starkov, K.1
  • 16
    • 10844272183 scopus 로고    scopus 로고
    • Localization of periodic orbits of autonomous systems based on high order extremum conditions
    • K. Starkov Localization of periodic orbits of autonomous systems based on high order extremum conditions Math Probl Eng 3 2004 277 290
    • (2004) Math Probl Eng , vol.3 , pp. 277-290
    • Starkov, K.1
  • 18
    • 4644232671 scopus 로고    scopus 로고
    • Localization of periodic orbits of polynomial systems by ellipsoidal estimates
    • K. Starkov, and A.P. Krishchenko Localization of periodic orbits of polynomial systems by ellipsoidal estimates Chaos, Solitons & Fractals 3 2005 981 988
    • (2005) Chaos, Solitons & Fractals , vol.3 , pp. 981-988
    • Starkov, K.1    Krishchenko, A.P.2
  • 19
    • 0030235714 scopus 로고    scopus 로고
    • Harmonic balance analysis of period-doubling bifurcations with applications for control of nonlinear dynamics
    • A. Tesi, E.H. Abed, R. Genesio, and H.O. Wang Harmonic balance analysis of period-doubling bifurcations with applications for control of nonlinear dynamics Automatica 32 1996 1255 1271
    • (1996) Automatica , vol.32 , pp. 1255-1271
    • Tesi, A.1    Abed, E.H.2    Genesio, R.3    Wang, H.O.4
  • 20
    • 0004596311 scopus 로고    scopus 로고
    • The Rössler equations revisited in terms of feedback control
    • R. Thomas The Rössler equations revisited in terms of feedback control J Biol Syst 7 1999 225 237
    • (1999) J Biol Syst , vol.7 , pp. 225-237
    • Thomas, R.1
  • 21
    • 0039585201 scopus 로고
    • Hermite' method of separation of solutions of algebraic equations and its applications
    • A.Yu. Uteshev, and S.G. Shulyak Hermite' method of separation of solutions of algebraic equations and its applications Linear Algebra Appl 177 1992 49 88
    • (1992) Linear Algebra Appl , vol.177 , pp. 49-88
    • Uteshev, A.Yu.1    Shulyak, S.G.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.