Nonlinear Dynamics in Complex Systems via Fractals and Fractional Calculus

• Other Authors: Paun, Viorel-Puiu (Editor)
• Format: Electronic Book Chapter
• Language: English
• Published: MDPI - Multidisciplinary Digital Publishing Institute 2023
• Subjects: Research & information: general; Mathematics & science; hidden attractor; unstable periodic orbit; symbolic dynamics; electronic circuit; atmosphere; multifractal; conductivity; ceilometer; hyperchaos; 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; 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; feature extraction; bearing fault diagnosis; offset boosting; circuit simulation; adaptive synchronization; ceramics; SEM micrographs; fractal analysis; autocorrelation dimension; PBL dynamics; multifractality; scale relativity theory; radiometer data; n/a
• Online Access: DOAB: download the publication; DOAB: description of the publication

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.