Gathering the proceedings of the 13th CHAOS2020 International Conference, this book highlights recent developments in nonlinear, dynamical and complex systems. The conference was intended to provide an essential forum for Scientists and Engineers to exchange ideas, methods, and techniques in the field of Nonlinear Dynamics, Chaos, Fractals and their applications in General Science and the Engineering Sciences. The respective chapters address key methods, empirical data and computer techniques, as well as major theoretical advances in the applied nonlinear field. Beyond showcasing the state of the art, the book will help academic and industrial researchers alike apply chaotic theory in their studies.

Inhalt

Higgs Boson and Higgs Field in Fractal Models of the Universe: Active Femtoobjects, New Hubble Constants, Solar Wind, Heliopause.- Qubits and Fractal Structures with Elements of the Cylindrical Type.- Fractal Atomicity, a Fundamental Concept in the Dynamics of Complex Systems.- Statistical Methods and Nonlinear Dynamics for Analyzing Brain Activity: Theoretical and Experimental Aspects.- Behaviour of Solutions of a Neuron Model.- M-theory as a Dynamical System Generator.- Hopf Bifurcation Analysis for the Fitzhugh-Nagumo Model of a Spiking Neuron.- Limit Cycles of the Schnakenberg Chemical Reaction Model.- Fractality and the Internal Dirichlet Problem.- Selective Transport of Suspending Micro-particles in an Oscillating Fluid through Micro-Channels.- Application of New 4-D Chaotic Map for Secure IP-Communications.- Liutex-based Investigation of Vortex in Multiphase Flow Past 2-D Cylinder using GPU-accelerated LBM.- Generalised Univariable Fractal Interpolation Functions.- Analysis of Thermal and Quantum Escape Times of Josephson Junctions for Signal Detection.- Control for Set-Valued Movements of Dynamical Systems under Uncertainty with Applications.- Interacting Populations: Dynamics and Viability in Bounded Domains under Uncertainty.- Battle of Salamis: Greeks were Destined to Win.- Atoms and Pseudo-atoms in Quantum Measure Theory.- Albert Einstein and the Doubling of the Deflection of Light.- Effects of Thermal and Levy Noise Sources on the Switching Current Distributions of a Josephson Junction.- A Fractional-order Model of the Cardiac Function.- Vector Difference Equations, Substochastic Matrices, and Design of Multi-Networks to Reduce the Spread of Epidemics.- Dynamics of the Charge Transfer through a Memristor between Two Initially Charged Cells.- Effect of Synchronization on the Fractal Basin Boundary of the Duffing Oscillator.- Anomalous Scaling in the Kinematic MHD Turbulence under the Influence of Helicity.