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Controlling Homoclinic Orbits

, 1989
In this paper we analyze various control-theoretic aspects of a nonlinear control system possessing homoclinic or heteroclinic orbits. In particular, we show that for a certain class of nonlinear control system possessing homoclinic orbits, a control can
Marsden, J. E., Bloch, A. M.
core  

Classification of bursting patterns: A tale of two ducks. [PDF]

PLoS Comput Biol, 2022
Desroches M, Rinzel J, Rodrigues S.
europepmc   +1 more source

Waves of infection emerging from coupled social and epidemiological dynamics. [PDF]

J Theor Biol, 2023
Iwasa Y, Hayashi R.
europepmc   +1 more source

Homoclinic solutions for a class of second-order Hamiltonian systems with locally defined potentials

Electronic Journal of Differential Equations, 2017
In this article, we establish sufficient conditions for the existence of homoclinic solutions for a class of second-order Hamiltonian systems $$ \ddot u(t)-L(t)u(t)+\nabla W\bigl(t,u(t)\bigr)=f(t), $$ where L(t) is a positive definite symmetric ...
Xiang Lv
doaj  

Self-Organisation of Prediction Models. [PDF]

Entropy (Basel), 2023
Feistel R.
europepmc   +1 more source

Wavelength Selection for Periodic Travelling Waves: An Unsolved Problem. [PDF]

Bull Math Biol
Eigentler L, Sensi M.
europepmc   +1 more source

Optimization of ictal aborting stimulation using the dynamotype taxonomy. [PDF]

J Comput Neurosci, 2023
Szuromi MP, Jirsa VK, Stacey WC.
europepmc   +1 more source

On a Countable Sequence of Homoclinic Orbits Arising Near a Saddle-Center Point. [PDF]

Commun Math Phys
Baldomá I, Guardia M, Pelinovsky DE.
europepmc   +1 more source

Basin Entropy and Shearless Barrier Breakup in Open Non-Twist Hamiltonian Systems. [PDF]

Entropy (Basel), 2023
Souza LC, Mathias AC, Haerter P, Viana RL.   +3 more
europepmc   +1 more source

Multiplicity Of Homoclinic Orbits In Quasi-Linear Autonomous Lagrangian Systems

The existence of at least two homoclinic orbits is proved by A. Ambrosetti and V. Coti Zelati (Multiple homoclinic orbits for a class of conservative systems, Rend. Sem. Mat. Univ.
Buffoni, Boris, Landry, Laurent
core   +1 more source