Results 31 to 40 of about 4,323 (217)
The Dynamics of a Predator-Prey System with State-Dependent Feedback Control
Abstract and Applied Analysis, 2012 A Lotka-Volterra-type predator-prey system with state-dependent feedback control is investigated in both theoretical and numerical ways. Using the Poincaré map and the analogue of the Poincaré criterion, the sufficient conditions for the existence and ...
Hunki Baek
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Winding Numbers in Discrete Dynamics: From Circle Maps and Fractals to Chaotic Poincaré Sections
ModellingWinding numbers are key indices in the depiction, modelling, and testing of dynamical processes. They capture phase progression on closed curves and are robust for quasiperiodic dynamics, but their status for chaotic Poincaré sections is unclear.
Zhengyuan Zhang, Liming Dai, Na Jia
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Holling-Tanner Predator-Prey Model with State-Dependent Feedback Control
Discrete Dynamics in Nature and Society, 2018 In this paper, we propose a novel Holling-Tanner model with impulsive control and then provide a detailed qualitative analysis by using theories of impulsive dynamical systems.
Jin Yang, Guangyao Tang, Sanyi Tang
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A New Chaotic System with Positive Topological Entropy
Entropy, 2015 This paper introduces a new simple system with a butterfly chaotic attractor. This system has rich and complex dynamics. With some typical parameters, its Lyapunov dimension is greater than other known three dimensional chaotic systems.
Zhonglin Wang +3 more
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A new four-dimensional chaotic attractor
Ain Shams Engineering Journal, 2018 A new four-dimensional chaotic system is introduced in this paper, it is mainly consist of four multiplier terms and four simple terms. The system has different structure and topology of existing four-dimensional systems and produces two equilibrium ...
M. Ababneh
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Element sets for high-order Poincaré mapping of perturbed Keplerian motion [PDF]
, 2018 The propagation and Poincaré mapping of perturbed Keplerian motion is a key topic in celestial mechanics and astrodynamics, e.g. to study the stability of orbits or design bounded relative trajectories.
Armellin, Roberto +3 more
core +3 more sources
Advanced Functional Materials, EarlyView.Photoaligned and photopatterned liquid crystal platforms provide programmable control of optical phase, polarization, and spin‐orbit interactions, enabling compact generation of structured light and complex wavefronts. This review highlights how tailored molecular orientations transform simple beams into designed optical fields, opening versatile ...
Le Zhou +6 more
wiley +1 more source
, 2014 The multichannel quantum defect theory (MQDT) can be reinterpreted as a quantum Poincaré map in representation of angular momentum. This has two important implications: we have a paradigm of a true quantum Poincaré map without semiclassical input and we ...
M. Lombardi C +3 more
core
Statistical characteristics of the Poincaré return times for a one-dimensional nonhyperbolic map [PDF]
, 2011 Characteristics of the Poincaré return times are considered in a one-dimensional cubic map with a chaotic nonhyperbolic attractor. Two approaches, local one (Kac's theorem) and global one related with the AP-dimension estimation of return times, are used.
V. Anishchenko +4 more
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Asymmetry in Skipping Enhances Viability Against Control Input Noise
Advanced Robotics Research, EarlyView.Quadruped animals use asymmetric galloping gaits at high speeds, yet the functional role of this asymmetry remains unclear. This study shows that left–right asymmetry in touchdown angles enhances robustness to control noise. Using a simple two‐legged locomotion model and viability theory, it demonstrates that asymmetric skipping substantially enlarges ...
Yuichi Ambe, Alvin So, Shinya Aoi
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