-
1
-
-
0002299782
-
Differential equations with discontinuous right-hand side
-
American Mathematical Society
-
Filippov A.F. Differential equations with discontinuous right-hand side. American Mathematical Society Translations Series vol. 2 (1964), American Mathematical Society 199-231
-
(1964)
American Mathematical Society Translations Series
, vol.2
, pp. 199-231
-
-
Filippov, A.F.1
-
6
-
-
0026419524
-
Non-periodic motion caused by grazing incidence in an impact oscillator
-
Nordmark A.B. Non-periodic motion caused by grazing incidence in an impact oscillator. J. Sound Vibration 145 (1991) 279-297
-
(1991)
J. Sound Vibration
, vol.145
, pp. 279-297
-
-
Nordmark, A.B.1
-
8
-
-
0346910377
-
Sliding bifurcations: A novel mechanism for the sudden onset of chaos in dry-friction oscillators
-
di Bernardo M., Kowalczyk P., and Nordmark A. Sliding bifurcations: A novel mechanism for the sudden onset of chaos in dry-friction oscillators. Internat. J. Bifur. Chaos 13 (2003) 2935-2948
-
(2003)
Internat. J. Bifur. Chaos
, vol.13
, pp. 2935-2948
-
-
di Bernardo, M.1
Kowalczyk, P.2
Nordmark, A.3
-
9
-
-
29244474623
-
Transition from periodicity to chaos in a pwm-controlled buck converter with ZAD strategy
-
Angulo F., Fossas E., and Olivar G. Transition from periodicity to chaos in a pwm-controlled buck converter with ZAD strategy. Internat. J. Bifur. Chaos 15 10 (2005) 3245-3264
-
(2005)
Internat. J. Bifur. Chaos
, vol.15
, Issue.10
, pp. 3245-3264
-
-
Angulo, F.1
Fossas, E.2
Olivar, G.3
-
10
-
-
0000863642
-
Doubling of the oscillation period with C-bifurcations in piecewise continouous systems
-
Feigin M.I. Doubling of the oscillation period with C-bifurcations in piecewise continouous systems. PMM J. Appl. Math. Mech. 34 (1970) 861-869
-
(1970)
PMM J. Appl. Math. Mech.
, vol.34
, pp. 861-869
-
-
Feigin, M.I.1
-
11
-
-
0000516779
-
On the generation of sets of subharmonic modes in a piecewise continuous system
-
Feigin M.I. On the generation of sets of subharmonic modes in a piecewise continuous system. PMM J. Appl. Math. Mech. 38 (1974) 810-818
-
(1974)
PMM J. Appl. Math. Mech.
, vol.38
, pp. 810-818
-
-
Feigin, M.I.1
-
12
-
-
0000736695
-
On the structure of C-bifurcation boundaries of piecewise continuous systems
-
Feigin M.I. On the structure of C-bifurcation boundaries of piecewise continuous systems. PMM J. Appl. Math. Mech. 42 (1978) 820-829
-
(1978)
PMM J. Appl. Math. Mech.
, vol.42
, pp. 820-829
-
-
Feigin, M.I.1
-
13
-
-
0001050846
-
Border-collision bifurcations: An explanation for observed bifurcation phenomena
-
Nusse H.E., Ott E., and Yorke J.A. Border-collision bifurcations: An explanation for observed bifurcation phenomena. Phys. Rev. E 49 (1994) 1073-1076
-
(1994)
Phys. Rev. E
, vol.49
, pp. 1073-1076
-
-
Nusse, H.E.1
Ott, E.2
Yorke, J.A.3
-
14
-
-
4344639901
-
Border-collision bifurcations for piecewise smooth one-dimensional maps
-
Nusse H.E., and Yorke J.A. Border-collision bifurcations for piecewise smooth one-dimensional maps. Internat. J. Bifur. Chaos 5 (1995) 189-207
-
(1995)
Internat. J. Bifur. Chaos
, vol.5
, pp. 189-207
-
-
Nusse, H.E.1
Yorke, J.A.2
-
15
-
-
0033229544
-
Local analysis of C-bifurcations in n-dimensional piecewise smooth dynamical systems
-
di Bernardo M., Feigin M.I., Hogan S.J., and Homer M.E. Local analysis of C-bifurcations in n-dimensional piecewise smooth dynamical systems. Chaos, Solitons Fractals 10 (1999) 1881-1908
-
(1999)
Chaos, Solitons Fractals
, vol.10
, pp. 1881-1908
-
-
di Bernardo, M.1
Feigin, M.I.2
Hogan, S.J.3
Homer, M.E.4
-
16
-
-
0035877127
-
Corner collision implies border-collision bifurcation
-
di Bernardo M., Budd C.J., and Champneys A.R. Corner collision implies border-collision bifurcation. Physica D 154 (2001) 171-194
-
(2001)
Physica D
, vol.154
, pp. 171-194
-
-
di Bernardo, M.1
Budd, C.J.2
Champneys, A.R.3
-
17
-
-
0035892830
-
Normal form maps for grazing bifurcations in n-dimensional piecewise-smooth dynamical systems
-
Bernardo M.d., Budd C.J., and Champneys A.R. Normal form maps for grazing bifurcations in n-dimensional piecewise-smooth dynamical systems. Physica D 160 (2001) 222-254
-
(2001)
Physica D
, vol.160
, pp. 222-254
-
-
Bernardo, M.d.1
Budd, C.J.2
Champneys, A.R.3
-
18
-
-
0037105976
-
Bifurcations of dynamical systems with sliding: Derivation of normal-form mappings
-
di Bernardo M., Kowalczyk P., and Nordmark A. Bifurcations of dynamical systems with sliding: Derivation of normal-form mappings. Physica D 170 (2002) 175-205
-
(2002)
Physica D
, vol.170
, pp. 175-205
-
-
di Bernardo, M.1
Kowalczyk, P.2
Nordmark, A.3
-
19
-
-
33750069186
-
Bifurcations of equilibria in non-smooth continuous systems
-
Leine R.I. Bifurcations of equilibria in non-smooth continuous systems. Physica D 223 (2006) 121-137
-
(2006)
Physica D
, vol.223
, pp. 121-137
-
-
Leine, R.I.1
-
20
-
-
29144508275
-
Two-parameter discontinuity-induced bifurcations of limit cycles: Classification and open problems
-
Kowalczyk P., di Bernardo M., Champneys A.R., Hogan S.J., Homer M., and Piironinen P.T. Two-parameter discontinuity-induced bifurcations of limit cycles: Classification and open problems. Internat. J. Bifur. Chaos 16 3 (2006) 601-629
-
(2006)
Internat. J. Bifur. Chaos
, vol.16
, Issue.3
, pp. 601-629
-
-
Kowalczyk, P.1
di Bernardo, M.2
Champneys, A.R.3
Hogan, S.J.4
Homer, M.5
Piironinen, P.T.6
-
21
-
-
0002092102
-
Stick-slip vibrations and chaos
-
Popp K., and Shelter P. Stick-slip vibrations and chaos. Philos. Trans. R. Soc. A 332 1624 (1990) 89-105
-
(1990)
Philos. Trans. R. Soc. A
, vol.332
, Issue.1624
, pp. 89-105
-
-
Popp, K.1
Shelter, P.2
-
22
-
-
0041822709
-
Grazing, skipping and sliding: Analysis of the nonsmooth dynamics of the DC/DC buck converter
-
di Bernardo M., Champneys A.R., and Budd C.J. Grazing, skipping and sliding: Analysis of the nonsmooth dynamics of the DC/DC buck converter. Nonlinearity 11 (1998) 858-890
-
(1998)
Nonlinearity
, vol.11
, pp. 858-890
-
-
di Bernardo, M.1
Champneys, A.R.2
Budd, C.J.3
-
25
-
-
14844336939
-
Robust chaos and border-collision bifurcations in non-invertible piecewise-linear maps
-
Kowalczyk P. Robust chaos and border-collision bifurcations in non-invertible piecewise-linear maps. Nonlinearity 18 (2005) 485-504
-
(2005)
Nonlinearity
, vol.18
, pp. 485-504
-
-
Kowalczyk, P.1
-
26
-
-
0034134623
-
Quasiperiodicity and chaos in the DC-DC buck-boost converter
-
Aroudi A.E., Benadero L., Toribio E., and Machiche S. Quasiperiodicity and chaos in the DC-DC buck-boost converter. Internat. J. Bifur. Chaos 10 2 (2000) 359-371
-
(2000)
Internat. J. Bifur. Chaos
, vol.10
, Issue.2
, pp. 359-371
-
-
Aroudi, A.E.1
Benadero, L.2
Toribio, E.3
Machiche, S.4
-
27
-
-
0038333576
-
Two-dimensional bifurcation diagrams. background pattern of fundamental dc-dc converters with pwm control
-
Benadero L., Aroudi A.E., Olivar G., Toribio E., and Gomez E. Two-dimensional bifurcation diagrams. background pattern of fundamental dc-dc converters with pwm control. Internat. J. Bifur. Chaos 13 2 (2003) 427-451
-
(2003)
Internat. J. Bifur. Chaos
, vol.13
, Issue.2
, pp. 427-451
-
-
Benadero, L.1
Aroudi, A.E.2
Olivar, G.3
Toribio, E.4
Gomez, E.5
-
28
-
-
0035911618
-
Grazing and border-collision in piecewise-smooth systems: A unified analytical framework
-
di Bernardo M., Budd C.J., and Champneys A.R. Grazing and border-collision in piecewise-smooth systems: A unified analytical framework. Phys. Rev. Lett. 86 (2001) 2553-2556
-
(2001)
Phys. Rev. Lett.
, vol.86
, pp. 2553-2556
-
-
di Bernardo, M.1
Budd, C.J.2
Champneys, A.R.3
|