Review article: Dynamical systems, algebraic topology and the climate sciences by M. Ghil, M. Ghil, M. Ghil, D. Sciamarella, D. Sciamarella, D. Sciamarella

“…The review is thus a trip leading from the applications of classical bifurcation theory to multiple possible climates to the tipping points associated with transitions from one type of climatic behavior to another in the presence of time-dependent forcing, deterministic as well as stochastic.…”
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Existence and multiplicity of solutions for second-order Dirichlet problems with nonlinear impulses by Ma Mantang, Ma Ruyun

“…We show the existence and multiplicity of solutions to the aforementioned problem for λ\lambda in a neighborhood of 1 by using degree theory and bifurcation theory.…”
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The role of coastal landforms in tourism development by mehran maghsudi

“…This creates an important and promising bridge between sustainability and bifurcation theory, one of the most important areas of systems analysis.…”
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Bifurcation Stability Analysis of the Synchronverter in a Microgrid by Juan Segundo Ramírez, Josué Hernández Ramírez, Nancy Visairo Cruz, Rafael Peña Gallardo

“…This work presents a stability analysis of a synchronverter-based system conducted through the bifurcation theory to expose its stability regions in a grid-connected configuration with an aggregate load model conformed by a ZIP model and an induction motor model. …”
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Longitudinal dynamics, optimization and control of aircraft transition maneuver using aerodynamic vectoring by Adnan Maqsood

“…Specifically, Multiple Time Scales (MTS) method in conjunction with bifurcation theory is used to uncover the peculiar system behavior and to understand the steady transition dynamics further.…”
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A taxonomy of seizure dynamotypes by Maria Luisa Saggio, Dakota Crisp, Jared M Scott, Philippa Karoly, Levin Kuhlmann, Mitsuyoshi Nakatani, Tomohiko Murai, Matthias Dümpelmann, Andreas Schulze-Bonhage, Akio Ikeda, Mark Cook, Stephen V Gliske, Jack Lin, Christophe Bernard, Viktor Jirsa, William C Stacey

“…We introduce an organizing principle that leads to the first objective Taxonomy of Seizure Dynamics (TSD) based on bifurcation theory. The ‘dynamotype’ of a seizure is the dynamic composition that defines its observable characteristics, including how it starts, evolves and ends. …”
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Formation of a Warped Nanomodular Surface Under Ion Bombardment. A Nanoscale Model of Surface Erosion by D. A. Kulikov, A. S. Rudy

“…The possibility of a ripple topography is demonstrated by means of bifurcations theory methods for dynamical systems with an infinite dimensional space of initial data. …”
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Formation of a Warped Nanomodular Surface Under Ion Bombardment. A Nanoscale Model of Surface Erosion by D. A. Kulikov, A. S. Rudy

“…The possibility of a ripple topography is demonstrated by means of bifurcations theory methods for dynamical systems with an infinite dimensional space of initial data. …”
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Brief review of the development of theories of robustness, roughness and bifurcations of dynamic systems by Roman O. Omorov

“…Further research suggests the development of roughness and bifurcation theories for complex nonlinear dynamical systems.…”
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