--- _id: '2224' abstract: - lang: eng text: This work investigates the transition between different traveling helical waves (spirals, SPIs) in the setup of differentially independent rotating cylinders. We use direct numerical simulations to consider an infinite long and periodic Taylor-Couette apparatus with fixed axial periodicity length. We find so-called mixed-cross-spirals (MCSs), that can be seen as nonlinear superpositions of SPIs, to establish stable footbridges connecting SPI states. While bridging the bifurcation branches of SPIs, the corresponding contributions within the MCS vary continuously with the control parameters. Here discussed MCSs presenting footbridge solutions start and end in different SPI branches. Therefore they differ significantly from the already known MCSs that present bypass solutions (Altmeyer and Hoffmann 2010 New J. Phys. 12 113035). The latter start and end in the same SPI branch, while they always bifurcate out of those SPI branches with the larger mode amplitude. Meanwhile, these only appear within the coexisting region of both SPIs. In contrast, the footbridge solutions can also bifurcate out of the minor SPI contribution. We also find they exist in regions where only one of the SPIs contributions exists. In addition, MCS as footbridge solution can appear either stable or unstable. The latter detected transient solutions offer similar spatio-temporal characteristics to the flow establishing stable footbridges. Such transition processes are interesting for pattern-forming systems in general because they accomplish transitions between traveling waves of different azimuthal wave numbers and have not been described in the literature yet. article_number: '025503' author: - first_name: Sebastian full_name: Altmeyer, Sebastian id: 2EE67FDC-F248-11E8-B48F-1D18A9856A87 last_name: Altmeyer orcid: 0000-0001-5964-0203 citation: ama: Altmeyer S. On secondary instabilities generating footbridges between spiral vortex flow. Fluid Dynamics Research. 2014;46(2). doi:10.1088/0169-5983/46/2/025503 apa: Altmeyer, S. (2014). On secondary instabilities generating footbridges between spiral vortex flow. Fluid Dynamics Research. IOP Publishing Ltd. https://doi.org/10.1088/0169-5983/46/2/025503 chicago: Altmeyer, Sebastian. “On Secondary Instabilities Generating Footbridges between Spiral Vortex Flow.” Fluid Dynamics Research. IOP Publishing Ltd., 2014. https://doi.org/10.1088/0169-5983/46/2/025503. ieee: S. Altmeyer, “On secondary instabilities generating footbridges between spiral vortex flow,” Fluid Dynamics Research, vol. 46, no. 2. IOP Publishing Ltd., 2014. ista: Altmeyer S. 2014. On secondary instabilities generating footbridges between spiral vortex flow. Fluid Dynamics Research. 46(2), 025503. mla: Altmeyer, Sebastian. “On Secondary Instabilities Generating Footbridges between Spiral Vortex Flow.” Fluid Dynamics Research, vol. 46, no. 2, 025503, IOP Publishing Ltd., 2014, doi:10.1088/0169-5983/46/2/025503. short: S. Altmeyer, Fluid Dynamics Research 46 (2014). date_created: 2018-12-11T11:56:25Z date_published: 2014-04-01T00:00:00Z date_updated: 2021-01-12T06:56:07Z day: '01' department: - _id: BjHo doi: 10.1088/0169-5983/46/2/025503 intvolume: ' 46' issue: '2' language: - iso: eng month: '04' oa_version: None publication: Fluid Dynamics Research publication_identifier: issn: - '01695983' publication_status: published publisher: IOP Publishing Ltd. publist_id: '4740' quality_controlled: '1' scopus_import: 1 status: public title: On secondary instabilities generating footbridges between spiral vortex flow type: journal_article user_id: 4435EBFC-F248-11E8-B48F-1D18A9856A87 volume: 46 year: '2014' ...