Results 81 to 90 of about 166,810 (242)
Characteristics of in-out intermittency in delay-coupled FitzHugh-Nagumo oscillators
, 2018 We analyze a pair of delay-coupled FitzHugh-Nagumo oscillators exhibiting in-out intermittency as a part of the generating mechanism of extreme events.
Feudel, Ulrike, Saha, Arindam
core +1 more source
Periodic orbits from nonperiodic orbits on an interval
Applied Mathematics Letters, 1997 It is known [\textit{L. S. Block} and \textit{W. A. Coppel}, Dynamics in one dimension. Lect. Notes Math. 1513. Berlin etc.: Springer-Verlag (1992; Zbl 0746.58007)] that for a continuous function on an interval, the existence of a dense orbit implies the existence of infinitely many periodic orbits with prime periods forming an unbounded set.
Mario Martelli, Annalisa Crannell
openaire +3 more sources
Journal of Applied Mathematics, 2012 The authors study the existence and uniqueness of a set with 2kT-periodic solutions for a class of second-order differential equations by using Mawhin's continuation theorem and some analysis methods, and then a unique homoclinic orbit is obtained as a ...
Lijuan Chen, Shiping Lu
doaj +1 more source
Dynamical analysis of an integrated pest management predator–prey model with weak Allee effect
Journal of Biological Dynamics, 2019 In this paper, a pest management predator–prey model with weak Allee effect on predator and state feedback impulsive control on prey is introduced and analysed, where the yield of predator released and intensity of pesticide sprayed are assumed to be ...
Tingting Yu +3 more
doaj +1 more source
On the existence of a new type of periodic and quasi-periodic orbits for twist maps of the torus
, 2002 We prove that for a large and important class of $C^1$ twist maps of the torus periodic and quasi-periodic orbits of a new type exist, provided that there are no rotational invariant circles (R.I.C's).
Zanata, S Addas
core +1 more source
Arithmetic and growth of periodic orbits
, 1999 We give necessary and sufficient conditions for a sequence to be exactly realizable as the sequence of numbers of periodic points in a dynamical system. Using these conditions, we show that no non-constant polynomial is realizable, and give some conditions on realizable binary recurrence sequences.
Puri, Yash, Ward, Thomas
openaire +4 more sources
Scar Intensity Statistics in the Position Representation
, 2005 We obtain general predictions for the distribution of wave function intensities in position space on the periodic orbits of chaotic ballistic systems. The expressions depend on effective system size N, instability exponent lambda of the periodic orbit ...
A. I. Shnirelman +6 more
core +1 more source
Periodic Orbits of Isometric Flows [PDF]
Nagoya Mathematical Journal, 1972 Let M be a compact C∞ Riemannian manifold, X a Killing vector field on M, and φt its 1-parameter group of isometries of M. In this, paper, we obtain some basic properties of the set of periodic points of φt. We show that the set of least periods is always finite, and the set P(X, t) of points of M having least period t for the vector field X is a ...
openaire +3 more sources
, 2011 This paper discusses phase space structures encountered in the neighborhood of periodic orbits with high order multiplicity in a 3D autonomous Hamiltonian system with a potential of galactic type. We consider 4D spaces of section and we use the method of
A. D. PINOTSIS +3 more
core +1 more source
Periodic orbits in periodic discrete dynamics
Computers & Mathematics with Applications, 2008 AbstractWe study the combinatorial structure of periodic orbits of nonautonomous difference equations xn+1=fn(xn) in a periodically fluctuating environment. We define the Γ-set to be the set of minimal periods that are not multiples of the phase period. We show that when the functions fn are rational functions, the Γ-set is a finite set. In particular,
openaire +2 more sources