Reprint

Nonlinear Dynamics in Complex Systems via Fractals and Fractional Calculus

Edited by
August 2023
276 pages
  • ISBN978-3-0365-8336-5 (Hardback)
  • ISBN978-3-0365-8337-2 (PDF)

This book is a reprint of the Special Issue Nonlinear Dynamics in Complex Systems via Fractals and Fractional Calculus that was published in

Computer Science & Mathematics
Summary

Current advances in the knowledge of nonlinear dynamical networks, systems and processes, as well as their unified repercussions, allow us to include some typical complex natural phenomena, from the nanoscale to an extra-galactic scale, in an unitarian comprehensive manner. In other words, the  physical, biological and financial data, as well as technological ones (mechanical or electronic devices), of complex systems available today can be managed by the same unique conceptual approach, both analytically and through a computer simulation, using effective nonlinear dynamics procedures. This volume collected some important advances in the fields of fractal curves, fractal analysis and fractional calculus, as well as new solutions of fractal differential equations. The works edited in the present technical publication are those that appeared in the Fractal and Fractional journal, in a Special Issue of the same name.

Format
  • Hardback
License
© 2022 by the authors; CC BY-NC-ND license
Keywords
hidden attractor; unstable periodic orbit; symbolic dynamics; electronic circuit; atmosphere; multifractal; conductivity; ceilometer; hyperchaos; hidden attractor; coexisting attractors; bifurcation; circuit implementation; sensitivity; uniformly converge; non-autonomous discrete systems; fractional order; slope entropy; time series complexity; permutation entropy; dispersion entropy; fractal dimension; fractal geometry; Minkowski’s loop; fractal antenna; 6G communication; fractal dimension; lacunarity; time series; phase space; attractor; correlation dimension; Zircaloy-4; global bifurcation; MEMS resonator; homoclinic orbit; heteroclinic orbit; chaos; fractal; safe basin; pull-in instability; delayed feedback; fuzzy dispersion entropy; fractional order; feature extraction; bearing fault diagnosis; hidden attractor; coexisting attractors; offset boosting; symbolic dynamics; circuit simulation; adaptive synchronization; ceramics; SEM micrographs; fractal analysis; time series; fractal dimension; lacunarity; autocorrelation dimension; hidden attractor; unstable periodic orbit; circuit simulation; coexisting attractors; offset boosting; adaptive synchronization; PBL dynamics; multifractality; scale relativity theory; radiometer data; n/a