Results 61 to 70 of about 3,278 (95)

Index theory for heteroclinic orbits of Hamiltonian systems

, 2017
Index theory revealed its outstanding role in the study of periodic orbits of Hamiltonian systems and the dynamical consequences of this theory are enormous.
Hu, Xijun, Portaluri, Alessandro
core   +1 more source

Homoclinic and Heteroclinic Neural ODEs: Theory and Its Use to Construct New Chaotic Attractors

Journal of Optimization, Differential Equations and Their Applications
New types of neural ordinary differential equations (NODE) with power nonlinearities are considered. For these NODE systems, new conditions for the existence of homoclinic and heteroclinic orbits are found.
Vasiliy Ye. Belozyorov, Dmytro M. Moroz, Svetlana A. Volkova   +2 more
doaj   +1 more source

Spatial heterogeneity promotes coexistence of rock-paper-scissor metacommunities

, 2012
The rock-paper-scissor game -- which is characterized by three strategies R,P,S, satisfying the non-transitive relations S excludes P, P excludes R, and R excludes S -- serves as a simple prototype for studying more complex non-transitive systems.
Allesina, Amarasekare, Axelrod, Axelrod, Benaïm, Boerlijst, Bresch, Buss, Cameron, Cantrell, Durrett, Durrett, Durrett, Durrett, Eigen, Frean, Gravel, Hamilton, Hanski, Hastings, Hauert, Hauert, Hofbauer, Hofbauer, Hofbauer, Hofbauer, Holland, Ifti, Iwasa, Karolyi, Kerr, Killingback, Kirkland, Kirkup, Krupa, Lankau, Levin, May, Maynard Smith, Maynard Smith, Maynard-Smith, Moquet, Nahum, Nakamaru, Nakamaru, Nowak, Ohtsuki, Paquin, Parker, Reichenbach, Roelke, Rojas-Echenique, Santos, Schreiber, Schreiber, Schreiber, Schreiber, Schreiber, Schöfisch, Sebastian J. Schreiber, Sinervo, Szabó, Tainaka, Timothy P. Killingback, Vandermeer, Vandermeer, Vandermeer   +66 more
core   +1 more source

Bifurcations of a Pair of Nonorientable Heteroclinic Cycles

Journal of Mathematical Analysis and Applications, 1998
The authors study some bifurcation problems of a pair of nonorientable heteroclinic cycles of vector fields, which are related to the study of Lorenz equations. The presence of both nonorientable cycles provides \(\Omega\)-explosion. The authors analyze what kinds of bifurcation behaviour happen for a generic two-parameter unfolding of a system with a ...
Dongwen, Qi, Zhujun, Jing
openaire   +1 more source

Chaos in Coupled Heteroclinic Cycles Between Weak Chimeras

Regular and Chaotic Dynamics
15 pages, 8 ...
Emelin, Artyom E., Grines, Evgeny A., Levanova, Tatiana A.   +2 more
openaire   +2 more sources

Huygens synchronisation of three clocks equidistant from each other

, 2019
In this paper we study the synchronisation of three identical oscillators, i.e., clocks, hanging from the same hard support. We consider the case where each clock interacts with the other two clocks.
D'Aniello, Emma, Oliveira, Henrique M.
core  

Pseudo-simple heteroclinic cycles in $R^4$

, 2017
We study pseudo-simple heteroclinic cycles for a $ $-equivariant system in $R^4$ with finite $ \subset O(4)$, and their nearby dynamics. In particular, in a first step towards a full classification - analogous to that which exists already for the class of simple cycles - we identify all finite subgroups of $O(4)$ admitting pseudo-simple cycles.
Chossat, Pascal, Lohse, Alexander, Podvigina, Olga   +2 more
openaire   +2 more sources

Heteroclinic cycles

Scholarpedia, 2007
openaire   +1 more source

Global dynamics of a special class of planar sector-wise linear systems

Electronic Journal of Differential Equations
Qian-Qian Han, Song-Mei Huan
doaj  

Heteroclinic cycles in thermal convection models

, 2005
openaire   +1 more source