Results 91 to 100 of about 5,272,693 (342)

Analysis on recurrence behavior in oscillating networks of biologically relevant organic reactions

Mathematical Biosciences and Engineering, 2019
In this paper, we present a new method based on dynamical system theory to study certain type of slow-fast motions in dynamical systems, for which geometric singular perturbation theory may not be applicable.
Pei Yu, Xiangyu Wang
doaj   +1 more source

Delay-induced multistability near a global bifurcation

, 2007
We study the effect of a time-delayed feedback within a generic model for a saddle-node bifurcation on a limit cycle. Without delay the only attractor below this global bifurcation is a stable node.
E. SCHÖLL, Guckenheimer J., Hu G., J. HIZANIDIS, R. AUST, Scholl E.   +5 more
core   +1 more source

Topology and Material Optimization in Ultra‐Soft Magneto‐Active Structures: Making Advantage of Residual Anisotropies

Advanced Materials, EarlyView.
Residual magnetization induces pronounced mechanical anisotropy in ultra‐soft magnetorheological elastomers, shaping deformation and actuation even without external magnetic fields. This study introduces a computational‐experimental framework integrating magneto‐mechanical coupling into topology optimization for designing soft magnetic actuators with ...
Carlos Perez‐Garcia, Rogelio Ortigosa, Jesús Martínez‐Frutos, Daniel Garcia‐Gonzalez   +3 more
wiley   +1 more source

Bifurcation Loci of Exponential Maps and Quadratic Polynomials: Local Connectivity, Triviality of Fibers, and Density of Hyperbolicity

, 2008
We study the bifurcation loci of quadratic (and unicritical) polynomials and exponential maps. We outline a proof that the exponential bifurcation locus is connected; this is an analog to Douady and Hubbard's celebrated theorem that (the boundary of) the
Rempe, Lasse, Schleicher, Dierk
core   +1 more source

A Scaling Theory of Bifurcations in the Symmetric Weak-Noise Escape Problem

, 1995
We consider the overdamped limit of two-dimensional double well systems perturbed by weak noise. In the weak noise limit the most probable fluctuational path leading from either point attractor to the separatrix (the most probable escape path, or MPEP ...
A. Auerbach, A. J. Bray, B. Carmeli, B. Caroli, D. L. Stein, D. Ludwig, H. A. Kramers, H. R. Jauslin, J. B. Keller, J. J. Duistermaat, J. S. Langer, J.-P. Eckmann, L. Onsager, L. S. Schulman, M. A. Shayman, M. C. Gutzwiller, M. C. Gutzwiller, M. I. Dykman, M. I. Dykman, M. I. Freidlin, M. M. Kłosek-Dygas, M. Mangel, M. V. Berry, M. V. Berry, M. V. Day, P. Talkner, R. B. Paris, R. G. Littlejohn, R. Graham, R. Landauer, R. S. Maier, R. S. Maier, Robert S. Maier, S. Glasstone, S.-K. Ma, T. Naeh, V. I. Arnol'd, V. P. Maslov   +37 more
core   +2 more sources

Freeform Manufacturing of Plant‐Based Structural Colors for Scalable Photonic and Mechanochromic Devices

Advanced Materials, EarlyView.
A green, freeform manufacturing approach that utilizes robust aqueous two‐phase systems to create intricate and scalable photonic structures and non‐planar mechanochromic hydrogel actuators from plant‐based hydroxypropyl cellulose. This approach broadens the structural possibilities of sustainable photonic devices and mechanochromic systems, offering ...
Xiao Song, Peiqi Niu, Wenxi Gu, Chun Lam Clement Chan, Jiuhong Yi, Xu Liu, Peng Tan, Chon In Haydn Cheong, Qingwen Guan, Dan Fang, Bingpu Zhou, Zi Liang Wu, Ji Liu, Yan Yan Shery Huang, Iek Man Lei   +14 more
wiley   +1 more source

Transition from exceptional points to observable nonlinear bifurcation points in anti-PT symmetric coupled cavity systems

Physical Review Research
Exceptional points (EPs) in anti-parity-time (APT)-symmetric systems have attracted significant interest. While linear APT-symmetric systems exhibit structural similarities with nonlinear dissipative systems, such as mutually injection-locked lasers, the
Takahiro Uemura, Kenta Takata, Masaya Notomi   +2 more
doaj   +1 more source

MAIN RATIOS OF THE INITIAL STAGE OF POSLEKRITICHECHKY OF DEFORMATION OF DESIGNS

Вестник Дагестанского государственного технического университета: Технические науки, 2016
Despite enormous number of works of theoretical and experimental character, the problem of classification of the phenomena of loss of stability of construction designs on groups of limit conditions neither in theoretical nor in practical the relations ...
G. M. Murtazaliyev, A. I. Akaev, M. M. Payzulaev   +2 more
doaj   +1 more source

Mathematical exploration on control of bifurcation for a 3D predator-prey model with delay

AIMS Mathematics
In this current paper, we developed a new predator-prey model accompanying delay based on the earlier works. By applying inequality strategies, fixed point theorem, and a suitable function, we got new necessary conditions for the existence, uniqueness ...
Yingyan Zhao, Changjin Xu, Yiya Xu, Jinting Lin, Yicheng Pang, Zixin Liu, Jianwei Shen   +6 more
semanticscholar   +1 more source

Nonequilibrium Period with Emergence of Marangoni Circulations in Meniscus Splitting

Advanced Materials Interfaces, EarlyView.
The emergence and evolution of Marangoni convection in the meniscus splitting phenomenon are investigated. During the mass circulation of viscous fluids, the confluence and bifurcation of polymer dispersions beneath the evaporative interface lead to the inhomogeneous densification of the skin layer.
Leijie Wu, Kosuke Okeyoshi
wiley   +1 more source