Results 11 to 20 of about 8,177 (202)

Imperfect Homoclinic Bifurcations [PDF]

Physical Review E, 2001
Experimental observations of an almost symmetric electronic circuit show complicated sequences of bifurcations. These results are discussed in the light of a theory of imperfect global bifurcations.
A. Arnéodo, D. V. Lyubinov, D. V. Turaev, E. Allaria, J. J. Healey, J. von Stamm, J. W. Swift, J.-M. Gambaudo, J.-M. Gambaudo, J.-M. Gambaudo, Jan Abshagen, M. Golubitsky, M. Golubitsky, M. J. B. Hauser, P. Coullet, P. Glendinning, P. Glendinning, P. Glendinning, Paul Glendinning, R. Herrero, S. M. Cox, T. Mullin, T. Peacock, Tom Mullin   +23 more
core   +3 more sources

Homoclinic Bifurcations for the Henon Map [PDF]

Physica D: Nonlinear Phenomena, 1999
Chaotic dynamics can be effectively studied by continuation from an anti-integrable limit. We use this limit to assign global symbols to orbits and use continuation from the limit to study their bifurcations.
Aubry, Aubry, Benedicks, Biham, Biham, Champneys, Christiansen, Curry, Cvitanovic, D. Sterling, Davis, Devaney, Easton, Gavrilov, Gavrilov, Grassberger, H.R. Dullin, Hansen, Hao, Hénon, Hénon, J.D. Meiss, Kan, Lamb, MacKay, MacKay, MacKay, Meiss, Meiss, Moser, Naudot, Newhouse, Newhouse, Rimmer, Robinson, Rom-Kedar, Rom-Kedar, Sterling, Wenzel   +38 more
core   +5 more sources

Bifurcation of Nongeneric Homoclinic Orbit Accompanied by Pitchfork Bifurcation [PDF]

Abstract and Applied Analysis, 2014
The bifurcation of a nongeneric homoclinic orbit (i.e., the orbit comes from the equilibrium along the unstable manifold instead of the center manifold) connecting a nonhyperbolic equilibrium is investigated, and the nonhyperbolic equilibrium undergoes ...
Fengjie Geng, Song Li
doaj   +4 more sources

Global bifurcation of homoclinic trajectories of discrete dynamical systems [PDF]

Open Mathematics, 2012
We prove the existence of an unbounded connected branch of nontrivial homoclinic trajectories of a family of discrete nonautonomous asymptotically hyperbolic systems parametrized by a circle under assumptions involving the topological properties of the ...
Pejsachowicz Jacobo, Skiba Robert
doaj   +3 more sources

Asymptotic analysis of subcritical Hopf–homoclinic bifurcation [PDF]

Physica D: Nonlinear Phenomena, 2000
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Guckenheimer, John, Willms, Allan R.
openaire   +4 more sources

Ion-acoustic waves dynamics in magnetized cometary plasma: nonlinear periodic and super-periodic waves with ion nonextensivity [PDF]

Scientific Reports
We explored the bifurcation analysis of ion-acoustic waves in a magnetized cometary plasma composed of hydrogen ions, positively and negatively charged oxygen ions, kappa-described hot solar electrons, and somewhat cooler cometary electrons. The modified
S. Y. El-Monier, A. Atteya
doaj   +2 more sources

Multiple bursting patterns in lateral habenula neurons: Experiments and computational model. [PDF]

J Physiol
Abstract figure legend LHb neurons display a variety of bursting patterns, as well as being silent or displaying a tonic or irregular firing pattern. In a set of patch‐clamp experiments in ex vivo mouse lateral habenula (LHb), we were able to record from a number of cells showing characteristic bursts of a few distinguishable types.
Fedorov D, Campillo F, Desroches M, Soria-Gómez E, Rodrigues S, Piriz J.   +5 more
europepmc   +2 more sources

Action functional as an early warning indicator in the space of probability measures via Schrödinger bridge. [PDF]

Quant Biol
Abstract Critical transitions and tipping phenomena between two meta‐stable states in stochastic dynamical systems are a scientific issue. In this work, we expand the methodology of identifying the most probable transition pathway between two meta‐stable states with Onsager–Machlup action functional, to investigate the evolutionary transition dynamics ...
Zhang P, Gao T, Guo J, Duan J.
europepmc   +2 more sources

Bursting Oscillations in General Coupled Systems: A Review

Mathematics, 2023
In this paper, the bursting oscillation phenomenon in coupled systems with two time scales is introduced. Firstly, several types of bifurcation are briefly introduced: fold bifurcation, Hopf bifurcation, fold limit cycle bifurcation, homoclinic ...
Danjin Zhang, Youhua Qian
doaj   +1 more source

Are physiological oscillations physiological?

The Journal of Physiology, EarlyView., 2023
Abstract figure legend Mechanisms and functions of physiological oscillations. Abstract Despite widespread and striking examples of physiological oscillations, their functional role is often unclear. Even glycolysis, the paradigm example of oscillatory biochemistry, has seen questions about its oscillatory function.
Lingyun (Ivy) Xiong, Alan Garfinkel
wiley   +1 more source