Periodic orbits from nonperiodic orbits on an interval
نویسندگان
چکیده
منابع مشابه
Cellular Automata and Nonperiodic Orbits
A bstract. T he periodic behavior of a particu lar class of dynamical sys tems , the cellular automata (CA) , is studied . A lar ge class of CAs is defined , (containing both addit ive and nonadditive CAs) in terms of the sensi tivity of t he local rule on which the CA is based . For this class , the set of configurations which ente r a cycle afte r a finit e number of it erat ions is complete ...
متن کاملHomoclinic Orbits of Nonperiodic Superquadratic Hamiltonian System
In this paper, we study the following first-order nonperiodic Hamiltonian system ż = JHz(t, z), where H ∈ C1(R× R ,R) is the form H(t, z) = 1 2 L(t)z · z + R(t, z). Under weak superquadratic condition on the nonlinearitiy. By applying the generalized Nehari manifold method developed recently by Szulkin and Weth, we prove the existence of homoclinic orbits, which are ground state solutions for a...
متن کاملPeriodic orbits from generating functions
Periodic orbits are studied using generating functions that yield canonical transformations induced by the phase flow as defined by the Hamilton-Jacobi theory. By posing the problem as a two-point boundary value problem, we are able to develop necessary and sufficient conditions for the existence of periodic orbits of a given period, or going through a given point in space. These conditions red...
متن کاملInterval Methods for Rigorous Investigations of periodic orbits
In this paper, we investigate the possibility of using interval arithmetic for rigorous investigations of periodic orbits in discrete-time dynamical systems with special emphasis on chaotic systems. We show that methods based on interval arithmetic when implemented properly are capable of finding all period-n cycles for considerable large n. We compare several interval methods for finding perio...
متن کاملReversible Relative Periodic Orbits
We study the bundle structure near reversible relative periodic orbits in reversible equivariant systems. In particular we show that the vector eld on the bundle forms a skew product system, by which the study of bifurcation from reversible relative periodic solutions reduces to the analysis of bifurcation from reversible discrete rotating waves. We also discuss possibilities for drifts along g...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Applied Mathematics Letters
سال: 1997
ISSN: 0893-9659
DOI: 10.1016/s0893-9659(97)00103-1