Results 71 to 80 of about 60,891 (313)

Bifurcation in nonlinearizable eigenvalue problems for ordinary differential equations of fourth order with indefinite weight

Electronic Journal of Qualitative Theory of Differential Equations, 2017
We consider a nonlinearizable eigenvalue problem for the beam equation with an indefinite weight function. We investigate the structure of bifurcation set and study the behavior of connected components of the solution set bifurcating from the line of ...
Ziyatkhan Aliyev, Rada Huseynova
doaj   +1 more source

A Superlubricated Magnetically Steerable Microcatheter with Integrated Optical and Fluidic Channels

Advanced Robotics Research, EarlyView.
A magnetically steerable microcatheter with integrated optical and fluidic channels is developed for multifunctional navigation in tortuous anatomical environments. A surface‐grafted hydrogel coating enables low‐friction actuation. The device demonstrates stable light and fluid delivery during magnetic manipulation, offering a compact platform for ...
Yuntian Du, Ruokun He, Luqi Li, Hesheng Wang, Zhuo‐Chen Ma, Bing Han   +5 more
wiley   +1 more source

A global index for bifurcation of fixed points.

Journal für die reine und angewandte Mathematik (Crelles Journal), 1988
Let \(X\) be a Banach space, \(\mathcal O\subset\mathbb R^ k\times X\) be open and \(f: \mathcal O\to X\) be completely continuous such that \(f(\lambda,0)=0\) for all \(\lambda\). If the set \[ \mathcal B:=\mathbb R^ k\cap \text{clos}\{(\lambda,x)\in\mathcal O: f(\lambda,x)=x\neq 0 \} \] of bifurcation points is compact an index \(\mathrm{BI}(f)\) is ...
openaire   +2 more sources

Backpropagation Through Soft Body: Investigating Information Processing in Brain–Body Coupling Systems

Advanced Robotics Research, EarlyView.
This study explores how information processing is distributed between brains and bodies through a codesign approach. Using the “backpropagation through soft body” framework, brain–body coupling agents are developed and analyzed across several tasks in which output is generated through the agents’ physical dynamics.
Hiroki Tomioka, Katsuma Inoue, Yasuo Kuniyoshi, Kohei Nakajima   +3 more
wiley   +1 more source

Miniaturized Magnetic Tip Design for Endoluminal Vine Robot Navigation

Advanced Robotics Research, EarlyView.
A magnetic tip mount is designed for a miniaturized 7 mm soft‐growing vine robot to enable wireless magnetic steering and onboard imaging, while preserving a 3 mm working channel. The internal–external ring magnets design balances magnetic attachment with low eversion pressure. Experiments demonstrate ±90° steering, 34 mm bending radius, and successful
Andrea Yanez Trujillo, Joshua Davy, James H. Chandler, James Avery, Pietro Valdastri   +4 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

Coupled Effects of Turing and Neimark-Sacker Bifurcations on Vegetation Pattern Self-Organization in a Discrete Vegetation-Sand Model

Entropy, 2017
Wind-induced vegetation patterns were proposed a long time ago but only recently a dynamic vegetation-sand relationship has been established. In this research, we transformed the continuous vegetation-sand model into a discrete model.
Feifan Zhang, Huayong Zhang, Tousheng Huang, Tianxiang Meng, Shengnan Ma   +4 more
doaj   +1 more source

Estimates of the bistable region in metal cutting

, 2008
The classical model of regenerative vibration is investigated with new kinds of nonlinear cutting force characteristics. The standard nonlinear characteristics are subjected to a critical review from the nonlinear dynamics viewpoint based on the ...
Dombovari, Zoltan, Wilson, RE, Wilson, R. Eddie, Stepan, Gabor, Stepan, G   +4 more
core   +1 more source

A numerical study of crack shielding and deflection under extensive plasticity [PDF]

, 2009
Experimentally observed crack deflection events in multi-layered material systems, occurring even under pure mode-I loading, are here simulated and explained through elasto-plastic finite element modelling.
Reed, Philippa A.S., Syngellakis, Stavros, Burke-Veliz, Allan   +2 more
core   +1 more source

Optimization of Magnetic Milli‐Spinner for Robotic Endovascular Intervention

Advanced Robotics Research, EarlyView.
This work presents the design optimization of a multifunctional magnetic milli‐spinner for high‐speed propulsion and efficient clot debulking. The optimized design achieves an ultrafast swimming velocity of 55 cm/s (≈175 body lengths/s) in saline water, enabling stable upstream swimming against strong physiological flows and establishing magnetic milli‐
Lu Lu, Luca Higgins, Jack Bernardo, Ruike Renee Zhao   +3 more
wiley   +1 more source