Results 11 to 20 of about 107,525 (295)
Period-doubling and period-tripling in growing bilayered systems [PDF]
Philosophical Magazine, 2015 Growing layers on elastic substrates are capable of creating a wide variety of surface morphologies. Moderate growth generates a regular pattern of sinusoidal wrinkles with a homogeneous energy distribution. While the critical conditions for periodic wrinkling have been extensively studied, the rich pattern formation beyond this first instability point
Silvia Budday +2 more
exaly +4 more sources
Period-Doubling of Spiral Waves and Defects
SIAM Journal on Applied Dynamical Systems, 2007 Motivated by experimental observations in the light-sensitive Belousov-Zhabotinsky reaction and subsequent numerical works, we discuss period-doubling bifurcations of spiral waves and other coherent structures.
Björn Sandstede, Arnd Scheel
exaly +7 more sources
Ergodic Theory and Dynamical Systems, 2009 The period doubling renormalization operator was introduced by Feigenbaum and by Coullet and Tresser in the 1970s to study the asymptotic small-scale geometry of the attractor of one-dimensional systems that are at the transition from simple to chaotic ...
Tresser, C. P. +3 more
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Period doubling in period-one steady states [PDF]
Physical Review E, 2018 Nonlinear classical dissipative systems present a rich phenomenology in their "route to chaos," including period doubling, i.e., the system evolves with a period which is twice that of the driving.
Carlo, Gabriel Gustavo +7 more
core +5 more sources
Alternating Period-Doubling Cascades
Nonlinearity, 2017 We consider period-doubling cascades in two-dimensional iterated maps. We define forward and backward period-doubling bifurcations, and use these concepts to describe an alternating period-doubling cascade in which forward and backward period-doubling ...
Aston, PJ, Bristow, N
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Period doubling solitons: yes or no? [PDF]
Physica D: Nonlinear Phenomena, 1991 We investigate the possibility of period doubling transition to temporal chaos of a coherent structure in a finite dimensional Hamiltonian system with moderately small friction.
Zeegers, T.W.P. +2 more
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IEEE Photonics Journal, 2017 Period-doubling bifurcation and period-quadrupling bifurcation of vector soliton pulses in a graphene mode locked fiber laser is experimentally observed and investigated. Not only single vector soliton but also vector soliton bunches as a unity are found
Yufeng Song +6 more
doaj +3 more sources
Lacunarity and period-doubling [PDF]
Dynamical Systems, 2012 We show that the deviation from power laws of the scaling of chaotic measures, such as Lyapunov exponents and topological entropy, is periodic in the logarithm of the distance from the accumulation of period doubling.
Smith, Leonard A. +2 more
core +3 more sources
Period-doubling bifurcation and chaos control in a discrete-time mosquito model [PDF]
Computational Ecology and Software, 2017 This article deals with the study of some qualitative properties of a discrete-time mosquito Model. It is shown that there exists period-doubling bifurcation for wide range of bifurcation parameter for the unique positive steady-state of given system. In
Qamar Din, Muhammad Asif Khan
doaj +1 more source
Spectral period doubling and encoding of dissipative optical solitons via gain control [PDF]
PhotoniXPeriod-doubling bifurcation, as an intermediate state between order and chaos, is ubiquitous in all disciplines of nonlinear science. However, previous experimental observations of period doubling in ultrafast fiber lasers are mainly restricted to self ...
Kangwen Yang +5 more
doaj +2 more sources