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Ultrafast Random Number Generation Using Broadband Polarization Chaos in QD Spin-VCSELs. [PDF]
Tselios C +3 more
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Parenting Profiles in Chinese Preschool Families: Parental Emotional Intelligence and Children's Social Competence. [PDF]
Li S, Gai X.
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Full-cycle prediction of crack healing in self-healing concrete using generalized polynomial chaos expansion. [PDF]
Fu C +6 more
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Robust Chaos in Polynomial Unimodal Maps
International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, 2004Simple polynomial unimodal maps which show robust chaos, that is, a unique chaotic attractor and no periodic windows in their bifurcation diagrams, are constructed. Their invariant distributions and Lyapunov exponents are examined.
Gabriel Perez
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Robust chaos-the theoretical formulation and experimental evidence
Practical applications of chaos are likely to face problems of reliability because of the existence of multiple attractors and periodic windows in most chaotic dynamical systems. In this paper we show that robust chaos, defined by the absence of periodic windows and coexisting attractors in some neighborhood of the parameter space, can occur in ...
Soumitro Banerjee +4 more
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Example of robust chaos in a smooth map
Robust chaos is defined by the absence of periodic windows and coexisting attractors in some neighborhood of the parameter space. The occurrence of robust chaos has been discussed in Phys. Rev. Lett., 78 (1997) 4561 and Phys. Rev. Lett., 80 (1998) 3049. It has been shown that robust chaos can occur in piecewise smooth systems.
M Andrecut, M. K Ali
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Robust chaos in 3-D piecewise linear maps
A chaotic attractor is called robust if there is no periodic window or any coexisting attractor in some open subset of the parameter space. Such a chaotic attractor cannot be destroyed by a small change in parameter values since a small change in the parameter value can only make small changes in the Lyapunov exponents.
Patra, Mahashweta, Banerjee, Soumitro
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A Constructive Approach to Robust Chaos Using Invariant Manifolds and Expanding Cones [PDF]
Chaotic attractors in the two-dimensional border-collision normal form (a piecewise-linear map) can persist throughout open regions of parameter space. Such robust chaos has been established rigorously in some parameter regimes.
David J. W. Simpson
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A Transformation of Mappings Preserving the Property of Robust Chaos [PDF]
Robust chaos is a phenomenon characterized by the continuous occurrence of chaos for the variability of control parameters. Therefore, chaotic systems with this property are highly desirable in various applications, e.g. chaos-based cryptography.
Christos Volos +2 more
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