Results 21 to 30 of about 147,306 (317)
Neimark-Sacker Bifurcation in a Discrete-Time Financial System
A discrete-time financial system is proposed by using forward Euler scheme. Based on explicit Neimark-Sacker bifurcation (also called Hopf bifurcation for map) criterion, normal form method and center manifold theory, the system's existence, stability ...
Baogui Xin, Tong Chen, Junhai Ma
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A new approach to the treatment of separatrix chaos [PDF]
We review an approach to separatrix chaos that has allowed us to solve some significant problems by: (i) finding analytically the maximum width of the chaotic layer, a problem that lay unsolved for 40 years, and showing that the maximum may be much ...
Khovanov, Igor A. +13 more
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In this paper, we propose, discuss, and illustrate a computationally feasible definition of chaos which can be applied very generally to situations that are commonly encountered, including attractors, repellers, and non-periodically forced systems. This definition is based on an entropy-like quantity, which we call “expansion entropy,” and we define ...
Hunt, Brian R., Ott, Edward
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Based on linear feedback control technique, a projective synchronization scheme of N-dimensional chaotic fractional-order systems is proposed, which consists of master and slave fractional-order financial systems coupled by linear state error variables ...
Baogui Xin, Tong Chen
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Bifurcation Control of an Electrostatically-Actuated MEMS Actuator with Time-Delay Feedback
The parametric excitation system consisting of a flexible beam and shuttle mass widely exists in microelectromechanical systems (MEMS), which can exhibit rich nonlinear dynamic behaviors.
Lei Li +3 more
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Bubble Relaxation Dynamics in Homopolymer DNA Sequences
Understanding the inherent timescales of large bubbles in DNA is critical to a thorough comprehension of its physicochemical characteristics, as well as their potential role on helix opening and biological function.
Malcolm Hillebrand +3 more
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La noción de territorio: retrospectiva, de Santa María del Puerto del Príncipe a Camagüey
El artículo resume aspectos relativos al proceso de formación y desarrollo de las ciudades y la incidencia en ello de las características históricas y geográficas. Atiende de manera particular la ciudad de Santa María del Puerto del Príncipe, actualmente
Mabel Teresa Chaos
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The field of chaos in many-body quantum systems has a long history, going back to Wigner’s simple models for heavy nuclei. Quantum chaos is being investigated in a broad variety of experimental platforms such as heavy nuclei, driven (few-electron) atoms,
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SCIENCE OF CHAOS OR CHAOS IN SCIENCE? [PDF]
I try to clarify several confusions in the popular literature concerning chaos, determinism, the arrow of time, entropy and the role of probability in physics. Classical ideas going back to Laplace and Boltzmann are explained and defended while some recent views on irreversibility, due to Prigogine, are criticized.
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Simple dynamical systems—with a small number of degrees of freedom—can behave in a complex manner due to the presence of chaos. Such systems are most often (idealized) limiting cases of more realistic situations. Isolating a small number of dynamical degrees of freedom in a realistically coupled system generically yields reduced equations with terms ...
He, Temple, Habib, Salman
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